Total Surface Area and Lateral Surface Area

Front

What is the definition of Total Surface Area?

Back

Total Surface Area is the sum of the areas of all the faces (including bases) of a three-dimensional shape.

Front

What is the definition of Lateral Surface Area?

Back

Lateral Surface Area is the sum of the areas of all the faces of a three-dimensional shape, excluding the bases.

Front

How do you calculate the Total Surface Area of a rectangular prism?

Back

Total Surface Area = 2lw + 2lh + 2wh, where l = length, w = width, h = height.

Front

How do you calculate the Lateral Surface Area of a rectangular prism?

Back

Lateral Surface Area = 2h(l + w), where l = length, w = width, h = height.

Front

What is the formula for the Total Surface Area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r = radius and h = height.

Front

What is the formula for the Lateral Surface Area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r = radius and h = height.

Front

What is the difference between lateral area and total surface area?

Back

Total surface area includes the base(s) and all the faces while lateral does not include the base(s).

Front

How do you find the Total Surface Area of a cone?

Back

Total Surface Area = πr(r + l), where r = radius and l = slant height.

Front

How do you find the Lateral Surface Area of a cone?

Back

Lateral Surface Area = πrl, where r = radius and l = slant height.

Front

What is the Total Surface Area of a sphere?

Back

Total Surface Area = 4πr², where r = radius.